AUTOMORPHISMS OF NONSELFADJOINT DIRECTED GRAPH OPERATOR ALGEBRAS

Automorphisms of Operator Algebras

Commutants of Weighted Shift Directed Graph Operator Algebras

We consider non-selfadjoint operator algebras L(G,λ) generated by weighted creation operators on the Fock-Hilbert spaces of countable directed graphs G. These algebras may be viewed as noncommutative generalizations of weighted Bergman space algebras, or as weighted versions of the free semigroupoid algebras of directed graphs. A complete description of the commutant is obtained together with b...

Derivations and Automorphisms of Certain Operator Algebras

Local automorphisms of standard operator algebras

Let X be an infinite-dimensional separable real or complex Banach space and A a closed standard operator algebra on X. Then every local automorphism of A is an automorphism. The assumptions of infinitedimensionality, separability, and closeness are all indispensable.

Locally Inner Automorphisms of Operator Algebras

In this paper an automorphism of a unital C-algebra is said to be locally inner if on any element it agrees with some inner automorphism. We make a fairly complete study of local innerness in von Neumann algebras, incorporating comparison with the pointwise innerness of Haagerup-Størmer. On some von Neumann algebras, including all with separable predual, a locally inner automorphism must be inn...